Speaker: Hao XU （Zhejiang University）

Time： June 15, 16:00-17:00

Place： 5406

Title： Spectral geometry of Kahler manifolds

Abstract： First we survey known results on spectral geometry of Kahler manifolds. Then we study the question of the spectral characterization of CP^n. Namely for each fixed nonnegative integers p, if a compact Kahler manifold M of complex dimension n has the same p-spectra as CP^n equipped with the Fubini-Study metric, we give explicit range of n such that this Kahler manifold is holomorphically isometric to CP^n . This extends previous works of Tanno, Chen-Vanhecke, Goldberg for p<=2 and Ping Li for even p. This is joint work with K. Liu, X. Huang and Y. Zhi.